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Finding the Fourth Proportional to 16,337,981,447.60, 24,506,972,171.40 and 16,337,981,447.60

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Solution

The fourth proportional to 16,337,981,447.60, 24,506,972,171.40 and 16,337,981,447.60 is: 24,506,972,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337,981,447.60 : 24,506,972,171.40 = 16,337,981,447.60 : x
  2. Step 2: Convert to fraction form
    16,337,981,447.60/24,506,972,171.40 = 16,337,981,447.60/x
  3. Step 3: Cross multiply
    16,337,981,447.60x = 24,506,972,171.40 × 16,337,981,447.60
  4. Step 4: Simplify right side
    16,337,981,447.60x = 400,394,456,673,182,744,576
  5. Step 5: Solve for x
    x = 400,394,456,673,182,744,576/16,337,981,447.60
  6. Step 6: Final answer
    x = 24,506,972,171.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.